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We study how conserved quantities such as angular momentum and center of mass evolve with respect to the retarded time at null infinity, which is described in terms of a Bondi-Sachs coordinate system.
1912
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H. Bondi, M. G. J. van der Burg and A. W. K. Metzner, Gravitational waves in general relativity. VII. Waves from axi-symmetric isolated systems
1962
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R. K. Sachs, Gravitational waves in general relativity. VIII. Waves in asymptotically flat space-time
1962
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A. Ashtekar and R. O. Hansen, A unified treatment of null and spatial infinity in general relativity. I. Universal structure, asymptotic symmetries, and conserved quantities at spatial infinity
1978
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R. Penrose, Quasilocal mass and angular momentum in general relativity
1982
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T. Dray and M. Streubel, Angular momentum at null infinity, Classical Quantum Gravity
1984
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D. Christodoulou, Nonlinear nature of gravitation and gravitational-wave experiments
1991
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D. Christodoulou and S. Klainerman, The global nonlinear stability of the Minkowski space
1993
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P. T. Chruściel, M. A. H. MacCallum and D. B. Singleton, Gravitational waves in general relativity. XIV. Bondi expansions and the “polyhomogeneity” of ℐ \mathscr{I}
1995
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A. Rizzi, Angular momentum in general relativity
1997
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A. Rizzi, Angular momentum in general relativity: a new definition
1998
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J. A. Valiente Kroon, A comment on the outgoing radiation condition for the gravitational field and the peeling theorem
1999
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D. Christodoulou, The global initial value problem in general relativity
2002
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P. T. Chruściel, J. Jezierski and J. Kijowski, Hamiltonian field theory in the radiating regime
M.-T. Wang, and S.-T. Yau, Isometric embeddings into the Minkowski space and new quasi-local mass
2009
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P.-N. Chen, M.-T. Wang, and S.-T. Yau, Evaluating quasi-local energy and solving optimal embedding equation at null infinity
2011
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P.-N. Chen, M.-T. Wang, and S.-T. Yau, Conserved quantities in general relativity: from the quasi-local level to spatial infinity
2015
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P.-N. Chen, M.-T. Wang and S.-T. Yau, Quasilocal angular momentum and center of mass in general relativity
2016
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T. Mädler and J. Winicour, Bondi-Sachs formalism
2016
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2002
Cited alongside, same era.
M.-T. Wang, Total mass and limits of quasilocal mass at future null infinity,
2003
Cited alongside, same era.
M.-T. Wang, and S.-T. Yau, Quasi-local mass in general relativity
2009
Cited alongside, same era.
J. Keller, Y.-K. Wang, and S.-T. Yau, Evaluating quasi-local angular momentum and center-of-mass at null infinity
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R. Penrose, Some unsolved problems in classical general relativity, in Seminar on Differential Geometry
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È. È. Flanagan and D. A. Nichols, Conserved charges of the extended Bondi-Metzner-Sachs algebra
2017
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S. W. Hawking, M. J. Perry, and A. Strominger, Superrotation charge and supertranslation hair on black holes
2017
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P.-N. Chen, M.-T. Wang and S.-T. Yau, Evaluating small sphere limit of the Wang-Yau quasi-local energy
2018
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